
% Table generated with cell2latex.m  on  13-Jan-2022 01:41:26

\begin{table}[H]
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\caption{RD Estimates of Platform Pop-Up Effects by Market-Level Choice Experience\label{tab:RDmaturity}}
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  &\multicolumn{1}{c}{(1)} &\multicolumn{1}{c}{(2)} &\multicolumn{1}{c}{ } &\multicolumn{1}{c}{(3)} &\multicolumn{1}{c}{(4)} &\multicolumn{1}{c}{ } &\multicolumn{1}{c}{(5)} &\multicolumn{1}{c}{(6)}\\
 &\multicolumn{2}{c}{1st year} &\multicolumn{1}{c}{ }&\multicolumn{2}{c}{2nd year} &\multicolumn{1}{c}{ }&\multicolumn{2}{c}{3rd+ year}\\\cline{2-3}\cline{5-6}\cline{8-9}
  &\multicolumn{1}{c}{} &\multicolumn{1}{c}{IV} &\multicolumn{1}{c}{ } &\multicolumn{1}{c}{} &\multicolumn{1}{c}{IV} &\multicolumn{1}{c}{ } &\multicolumn{1}{c}{} &\multicolumn{1}{c}{IV}\\\midrule

\\
\multicolumn{9}{l}{\textit{A. Balance}} \\
Economically Vulnerable  & -0.011 &  &   & 0.023 &  &   & -0.029 &  \\ 
  & (0.024) &  &   & (0.015) &  &   & (0.015) &  \\ 
Rural  & -0.001 &  &   & -0.008 &  &   & -0.009 &  \\ 
  & (0.006) &  &   & (0.004) &  &   & (0.004) &  \\ 
\\
\multicolumn{9}{l}{\textit{B. Choice Behavior}} \\
Any modification  & 0.181 &  &   & 0.235 &  &   & 0.206 &  \\ 
  & (0.023) &  &   & (0.016) &  &   & (0.015) &  \\ 
Add any  & 0.194 &  &   & 0.232 &  &   & 0.210 &  \\ 
  & (0.022) &  &   & (0.015) &  &   & (0.014) &  \\ 
Schools Added  & 0.319 & 1.648 &   & 0.370 & 1.596 &   & 0.318 & 1.517 \\ 
  & (0.075) & (0.311) &   & (0.043) & (0.142) &   & (0.031) & (0.104) \\ 
$\Delta$ Risk  & -0.037 & -0.190 &   & -0.032 & -0.138 &   & -0.033 & -0.159 \\ 
  & (0.009) & (0.039) &   & (0.005) & (0.018) &   & (0.004) & (0.018) \\ 
Add as first  & -0.011 & -0.056 &   & -0.004 & -0.019 &   & 0.003 & 0.015 \\ 
  & (0.007) & (0.039) &   & (0.005) & (0.020) &   & (0.004) & (0.017) \\ 
Add to middle  & 0.028 & 0.147 &   & 0.017 & 0.072 &   & 0.012 & 0.057 \\ 
  & (0.010) & (0.049) &   & (0.006) & (0.026) &   & (0.006) & (0.027) \\ 
Add as last  & 0.184 & 0.951 &   & 0.222 & 0.956 &   & 0.197 & 0.940 \\ 
  & (0.021) & (0.050) &   & (0.015) & (0.026) &   & (0.014) & (0.028) \\ 
Drop any  & 0.004 & 0.021 &   & -0.008 & -0.033 &   & 0.004 & 0.021 \\ 
  & (0.010) & (0.052) &   & (0.007) & (0.029) &   & (0.006) & (0.030) \\ 
Re-order  & 0.007 & 0.038 &   & 0.021 & 0.091 &   & 0.010 & 0.046 \\ 
  & (0.011) & (0.059) &   & (0.008) & (0.033) &   & (0.007) & (0.033) \\ 
\\
\multicolumn{9}{l}{\textit{C. Choice outcome}} \\
Placed to preference  & 0.059 & 0.306 &   & 0.049 & 0.211 &   & 0.017 & 0.083 \\ 
  & (0.023) & (0.119) &   & (0.014) & (0.060) &   & (0.013) & (0.063) \\ 
Enrolled in placed  & 0.009 & 0.046 &   & 0.041 & 0.177 &   & 0.014 & 0.067 \\ 
  & (0.025) & (0.130) &   & (0.016) & (0.071) &   & (0.016) & (0.077) \\ 
Enrolled in placed$|$placed  & -0.045 & -0.214 &   & 0.006 & 0.025 &   & 0.000 & 0.001 \\ 
  & (0.028) & (0.131) &   & (0.017) & (0.069) &   & (0.015) & (0.066) \\ 
\\
\multicolumn{9}{l}{\textit{D. Congestion-related outcomes}} \\
Add any undersubscribed  & 0.059 & 0.303 &   & 0.075 & 0.322 &   & 0.079 & 0.376 \\ 
  & (0.015) & (0.068) &   & (0.011) & (0.040) &   & (0.010) & (0.041) \\ 
$\Delta$ prob. placed to undersubscribed  & 0.025 & 0.127 &   & 0.015 & 0.065 &   & 0.021 & 0.101 \\ 
  & (0.009) & (0.042) &   & (0.005) & (0.021) &   & (0.005) & (0.021) \\ 
   &   &   &   &   &   &   &   &   \\ 
NL  & 3,819 & 3,819 &   & 8,573 & 8,573 &   & 7,967 & 7,967 \\ 
%  &  &  &   &  &  &   &  &  \\ 
NR  & 3,571 & 3,571 &   & 8,880 & 8,880 &   & 8,694 & 8,694 \\ 
%  &  &  &   &  &  &   &  &  \\ 
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\floatfoot{\scriptsize
\textit{Notes. }Local linear RD estimates of pop-up effects from warning pop-up on application platform, split by years elapsed since city-grade combination first began using the centralized choice process. Computed using triangular kernel with bandwidth 0.1. Heteroskedasticity-robust nearest neighbor variance estimator with minimum of 3 neighbors reported in parentheses; computed as in \citet{calonico2014robust}. IV estimates reported in second column of each set show the instrumental variable specifications (fuzzy RD), where the endogenous regressor is the add any school indicator. Panel A: predetermined covariates. Panel B: measures of choice behavior from initial to final application. $\Delta$ risk is change in application risk from first to final attempt. ``Add to X'' are additions of schools in given place on list, relative to initial application submission. Panel C: outcomes of choice process. ``Enrolled in placed'' is equal to one for students who receive a placement and enroll in the placed school. ``Enrolled in placed $|$ placed'' is the enrollment rate in the placed school, conditional on receiving a placement. Panel D: congestion attributes of behavior and placement outcomes. ``Undersubscribed'' schools are those with excess capacity. 
}
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